Show that the height of the cylinder of maximum volume that can be inscribed in a…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

14. Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is

\frac{2 \mathrm{R}}{\sqrt{3}}

. Also find the maximum volume.